• Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem of Axel Schur. In...
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  • 82) Wagner, David. "Proof of Schur's Theorem" (PDF). Notes on Linear Algebra. Higham, Nick (11 May 2022). "What Is a Schur Decomposition?". Trefethen,...
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  • dimensions. The Hales–Jewett theorem implies Van der Waerden's theorem. A theorem similar to van der Waerden's theorem is Schur's theorem: for any given c there...
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  • matrix. The result is named after Issai Schur (Schur 1911, p. 14, Theorem VII) (note that Schur signed as J. Schur in Journal für die reine und angewandte...
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  • In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in series summability theory characterizing matrix summability...
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  • In mathematics, the Jordan–Schur theorem also known as Jordan's theorem on finite linear groups is a theorem in its original form due to Camille Jordan...
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  • In mathematics, particularly linear algebra, the Schur–Horn theorem, named after Issai Schur and Alfred Horn, characterizes the diagonal of a Hermitian...
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  • representations of G. Schur's Lemma is a theorem that describes what G-linear maps can exist between two irreducible representations of G. Theorem (Schur's Lemma):...
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  • special cases of Rado's theorem are Schur's theorem and Van der Waerden's theorem. For proving the former apply Rado's theorem to the matrix ( 1   1  ...
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  • theory) Schur's theorem (Ramsey theory) Schur–Zassenhaus theorem (group theory) Schwartz kernel theorem (generalized functions) Schwartz–Zippel theorem (polynomials)...
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  • The Schur–Zassenhaus theorem is a theorem in group theory which states that if G {\displaystyle G} is a finite group, and N {\displaystyle N} is a normal...
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  • product Schur product theorem Schur test Schur's property Schur's theorem Schur's number Schur–Horn theorem Schur–Weyl duality Schur–Zassenhaus theorem...
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  • and such that every sum of a nonempty subset of Sm belongs to Nim. Schur's theorem in Ramsey theory states that, for any finite partition of the positive...
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  • Thumbnail for Issai Schur
    Schur polynomial Schur product Schur test Schur's inequality Schur's theorem Schur-convex function Schur–Weyl duality Lehmer–Schur algorithm Schur's property...
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  • In mathematics, Schur's property, named after Issai Schur, is the property of normed spaces that is satisfied precisely if weak convergence of sequences...
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  • mathematics bear the name Schur's lemma: Schur's lemma from representation theory Schur's lemma from Riemannian geometry Schur's lemma in linear algebra...
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    {\displaystyle \{a_{1},a_{2},\dots ,a_{n}\}} is bounded according to Schur's theorem, and therefore the Frobenius number exists. A closed-form solution...
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  • Thumbnail for Schur multiplier
    known as Hopf's integral homology formula and is identical to Schur's formula for the Schur multiplier of a finite group: H 2 ( G , Z ) ≅ ( R ∩ [ F , F...
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  • before, Schur's lemma proves D is a division ring if U is simple, and so U is a vector space over D. The proof also relies on the following theorem proven...
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  • the residue theorem; Jordan's theorem on group actions characterizes primitive groups containing a large p-cycle; and The Jordan–Schur theorem is an effective...
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  • Schur's lemma implies that the endomorphism ring commuting with the group action is a real associative division algebra and by the Frobenius theorem can...
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  • mathematical conjectures such as the Boolean Pythagorean triples problem, Schur's theorem number 5, and Keller's conjecture in dimension seven. Heule received...
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  • Thumbnail for Burnside problem
    invertible n × n complex matrices was finite; he used this theorem to prove the Jordan–Schur theorem. Nevertheless, the general answer to the Burnside problem...
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  • Thumbnail for Camille Jordan
    theory In group theory, the Jordan–Hölder theorem on composition series is a basic result. Jordan's theorem on finite linear groups Jordan's work did...
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  • Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear...
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  • finite; Burnside's theorem: a torsion group of finite exponent which is linear over a field of characteristic 0 must be finite; Schur's theorem: a torsion linear...
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  • PMC 388688. PMID 16592283. Kulkarni, R. S. (1975). "A finite version of Schur's theorem". Proceedings of the American Mathematical Society. 53 (2): 440–442...
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  • Thumbnail for Nathan Jacobson
    Soc. 50: 15–25. doi:10.1090/s0002-9947-1941-0005118-0. MR 0005118. "Schur's theorem on commutative algebras". Bull. Amer. Math. Soc. 50: 431–436. 1944...
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  • Thumbnail for Lagrange's theorem (group theory)
    In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | {\displaystyle |H|} is...
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  • lemma Lovász local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma...
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